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Minimality and stability of minimal hypersurfaces in IRn

Published online by Cambridge University Press:  17 April 2009

Fang Hua Lin
Fang Hua Lin
Affiliation:
Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, United States of America.
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Abstract

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In this paper we show that the hypercone over S2 × S4 is strictly area-minimizing in ℝ8. We also show the existence of smooth embedded stable hypersurfaces in ℝ8 which are not area-minimizing.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 2 , October 1987 , pp. 209 - 214
Copyright
Copyright © Australian Mathematical Society 1987

References

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